The number of operators in the standard model effective field theory

2, 84, 30, 993, 560, 15456, 11962, 261485, ...: Higher dimension operators in the SM EFT

We show that operator bases for general effective field theories are controlled by the conformal algebra.We use this result to study the standard model effective field theory (sm eft), determining the content and number of higher dimensionoperators up to dimension 12, for an arbitrary number of fermion generations.